The Language of Physics: A Foundation for University Study
This book introduces physics to a first year undergraduate in the language of mathematics. As such it aims to give a mathematical foundation to the physics taught at school as well as extending it to the skills and disciplines approached during a first degree course in physical science or engineering. It bridges two gaps in modern education - between the level of difficulty between A-level and undergraduate study, and between mathematics and physics.
You Are a Mathematician: A Wise and Witty Introduction to the Joy of Numbers
If you have ever wondered what makes mathematics so fascinating to a mathematician, this may be the book for you. Wells, a British teacher and author of several books of problems and popular mathematics, leads you through topics in geometry, theory of numbers, games, and scientific modeling. In each chapter, the author works upward from simple, specific examples to greater levels of generalization, demonstrating clearly the way new results are actually discovered by mathematicians. He expects only a background in high school algebra and a willingness to put in some effort.
The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems
This weighty collection, containing 50 of what the Annotated Alice annotator and popular science journalist considers his best Scientific American "Mathematical Games" columns, is sure to please the relatively small but intensely loyal coterie of Gardner fans. Arranged in 12 broad categories (arithmetic and algebra, plane geometry, topology, infinity, etc.), these pieces cover subjects that will delight recreational math buffs, such as Penrose tiles, hypercubes, Klein bottles and fractal music.
Six Sigma and Beyond: Problem Solving and Basic Mathematics, Volume II
In all walks of life, at some point in time, we all use the process of problem solving. We all talk about it, we all use it, but chances are we all mean different things by it. Six Sigma and Beyond: Problem Solving and Basic Mathematics organizes the topic and provides a structured approach based on the scientific method. Specifically designed to address the issue of cognitive functioning this volume provides a generic approach to problem solving. The Six Sigma methodology demands that problems be resolved in such a way that both the customer and organization benefit. Not a bad expectation.
Many of the most important mathematical concepts were developed from recreational problems. This book uses problems, puzzles, and games to teach students how to think critically. It emphasizes active participation in problem solving, with emphasis on logic, number and graph theory, games of strategy, and much more. Answers to Selected Problems.